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Finding the Fourth Proportional to 16,295.16, 22,482.79 and 9,221.43

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Solution

The fourth proportional to 16,295.16, 22,482.79 and 9,221.43 is: 12,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.16 : 22,482.79 = 9,221.43 : x
  2. Step 2: Convert to fraction form
    16,295.16/22,482.79 = 9,221.43/x
  3. Step 3: Cross multiply
    16,295.16x = 22,482.79 × 9,221.43
  4. Step 4: Simplify right side
    16,295.16x = 207,323,460.85
  5. Step 5: Solve for x
    x = 207,323,460.85/16,295.16
  6. Step 6: Final answer
    x = 12,723.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.